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200031153732 = 2232231313076007
BaseRepresentation
bin1011101001001011001…
…0010010111001000100
3201010022111220110101100
42322102302102321010
511234130433404412
6231520521500100
720310646516134
oct2722262227104
9633274813340
10200031153732
117791840a493
1232926041630
1315b2a909337
1499782b0ac4
15530b079edc
hex2e92c92e44

200031153732 has 144 divisors (see below), whose sum is σ = 533466565632. Its totient is φ = 63074531520.

The previous prime is 200031153661. The next prime is 200031153737. The reversal of 200031153732 is 237351130002.

It is a junction number, because it is equal to n+sod(n) for n = 200031153696 and 200031153705.

It is not an unprimeable number, because it can be changed into a prime (200031153737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33296673 + ... + 33302679.

It is an arithmetic number, because the mean of its divisors is an integer number (3704628928).

Almost surely, 2200031153732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200031153732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266733282816).

200031153732 is an abundant number, since it is smaller than the sum of its proper divisors (333435411900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200031153732 is a wasteful number, since it uses less digits than its factorization.

200031153732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 200031153732 its reverse (237351130002), we get a palindrome (437382283734).

The spelling of 200031153732 in words is "two hundred billion, thirty-one million, one hundred fifty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 131 138 207 262 276 307 393 414 524 614 786 828 921 1179 1228 1572 1842 2358 2763 3013 3684 4716 5526 6007 6026 7061 9039 11052 12014 12052 14122 18021 18078 21183 24028 27117 28244 36042 36156 40217 42366 54063 54234 63549 72084 80434 84732 108126 108468 120651 127098 138161 160868 216252 241302 254196 276322 361953 414483 482604 552644 723906 786917 828966 924991 1243449 1447812 1573834 1657932 1844149 1849982 2360751 2486898 2774973 3147668 3688298 3699964 4721502 4973796 5532447 5549946 7082253 7376596 8324919 9443004 11064894 11099892 14164506 16597341 16649838 18099091 22129788 28329012 33194682 33299676 36198182 42415427 54297273 66389364 72396364 84830854 108594546 127246281 162891819 169661708 217189092 241583519 254492562 325783638 381738843 483167038 508985124 651567276 724750557 763477686 966334076 1449501114 1526955372 2174251671 2899002228 4348503342 5556420937 8697006684 11112841874 16669262811 22225683748 33338525622 50007788433 66677051244 100015576866 200031153732